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13520000845 = 5132109229641
BaseRepresentation
bin11001001011101101…
…01101011101001101
31021220020021012112001
430211312231131031
5210142110011340
610113324312301
7656016053041
oct144566553515
937806235461
1013520000845
11580876281a
1227539a2691
13137603a700
1492384a021
15541e1b29a
hex325dad74d

13520000845 has 48 divisors (see below), whose sum is σ = 17834374800. Its totient is φ = 9833840640.

The previous prime is 13520000833. The next prime is 13520000861. The reversal of 13520000845 is 54800002531.

It can be written as a sum of positive squares in 24 ways, for example, as 4971519081 + 8548481764 = 70509^2 + 92458^2 .

It is a de Polignac number, because none of the positive numbers 2k-13520000845 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21091725 + ... + 21092365.

It is an arithmetic number, because the mean of its divisors is an integer number (371549475).

Almost surely, 213520000845 is an apocalyptic number.

It is an amenable number.

13520000845 is a deficient number, since it is larger than the sum of its proper divisors (4314373955).

13520000845 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (13520000844) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (997).

13520000845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 13520000845 in words is "thirteen billion, five hundred twenty million, eight hundred forty-five", and thus it is an aban number.

Divisors: 1 5 13 65 109 169 229 545 641 845 1145 1417 2977 3205 7085 8333 14885 18421 24961 38701 41665 69869 92105 108329 124805 146789 193505 324493 349345 541645 733945 908297 1622465 1908257 4218409 4541485 9541285 11807861 16000001 21092045 24807341 59039305 80000005 124036705 208000013 1040000065 2704000169 13520000845